Growth and heat treatment of the yttrium aluminum garnet crystal doped with Yb3+ (Yb:YAG) were studied, and the suitable conditions for its heat field system, growth procedure and annealing conditions were found out dependently. Through the determination of transmission ratio of the crystal at 939 nm wavelength, the relation between the absorb coefficient of the crystal and the initial concentration of Yb in melt is calculated The transition efficiency of optical-to-optical of the crystal is 38.6%, with slope efficiency 55.1%. Heat bonding between Yb:YAG and undoped YAG crystal, and between Νd:YAG and undoped YAG crystal were investigated, and the satisfactory results were attained.